### Multiplying fractions

A fraction is a **part** of a **whole**. In the last lesson, you learned how to add and subtract fractions. But that’s not the only kind of math you can vày with fractions. There are times when it will be useful to lớn multiply fractions too.

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Click through the slideshow to learn how to lớn write a multiplication problem with fractions.

Let's phối up a multiplication example with fractions. Suppose you drink 2/4 of a pot of coffee every morning.

But your doctor just told you that you need to lớn cut down your coffee drinking by **half**.

Now you need khổng lồ figure out how much 1/2 of 2/4 of a pot of coffee is.

This may not look lượt thích a multiplication problem. But when you see the word **of** with fractions, it means you need lớn multiply.

To mix up the example, we'll just replace the word **of** with a multiplication sign.

Now our example is ready to be solved.

Unlike regular multiplication, which gives you a **larger **number...

Unlike regular multiplication, which gives you a **larger** number...multiplying fractions will usually give you a **smaller** number.

So when we multiply 1/2 times 2/4...

So when we multiply 1/2 times 2/4...our answer will be smaller than 2/4.

Here's another example. Let's say you have 3/5 of a cup of chocolate filling.

You want to lớn put an equal amount of filling in each of these 4 cupcakes.

You could say that you want lớn put 1/4 of 3/5 of a cup of filling in each cupcake.

Just lượt thích we did before, we'll change the word **of** into a multiplication sign.

And now our fractions are ready to be multiplied.

Try This!Try setting up the multiplication problem below. Don't worry about solving it yet!

A recipe calls for 2/3 of a cup of milk. You want lớn cut the recipe in half.

**Note**: Although our example says the correct answer is 2/3 x 1/2, remember, with multiplying order does not matter. 50% x 2/3 would also be correct.

### Solving multiplication problems with fractions

Now that we know how lớn set up multiplication problems with fractions, let's practice solving a few. If you feel comfortable multiplying whole numbers, you're ready to lớn multiply fractions.

Click through slideshow lớn learn how to lớn multiply two fractions.

Let's multiply khổng lồ find một nửa of 7/10.

Just like we did earlier, we'll replace the word **of** with a multiplication sign. Now we're ready lớn multiply.

First, we'll multiply the numerators: 1 và 7.

1 times 7 equals 7, so we'll write 7 khổng lồ the right of the numerators.

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When we **added** fractions, the denominators stayed the same. But when we multiply, the denominators get multiplied too.